Explainable artificial intelligence for 6G: Improving trust between human and machine

W Guo - IEEE Communications Magazine, 2020 - ieeexplore.ieee.org
As 5G mobile networks are bringing about global societal benefits, the design phase for 6G
has started. Evolved 5G and 6G will need sophisticated AI to automate information delivery …

Artificial intelligence for science in quantum, atomistic, and continuum systems

X Zhang, L Wang, J Helwig, Y Luo, C Fu, Y Xie… - arXiv preprint arXiv …, 2023 - arxiv.org
Advances in artificial intelligence (AI) are fueling a new paradigm of discoveries in natural
sciences. Today, AI has started to advance natural sciences by improving, accelerating, and …

Bayesian probabilistic numerical methods

J Cockayne, CJ Oates, TJ Sullivan, M Girolami - SIAM review, 2019 - SIAM
Over forty years ago average-case error was proposed in the applied mathematics literature
as an alternative criterion with which to assess numerical methods. In contrast to worst-case …

Bayesian numerical homogenization

H Owhadi - Multiscale Modeling & Simulation, 2015 - SIAM
Numerical homogenization, ie, the finite-dimensional approximation of solution spaces of
PDEs with arbitrary rough coefficients, requires the identification of accurate basis elements …

Learning dynamical systems from data: a simple cross-validation perspective, part I: parametric kernel flows

B Hamzi, H Owhadi - Physica D: Nonlinear Phenomena, 2021 - Elsevier
Regressing the vector field of a dynamical system from a finite number of observed states is
a natural way to learn surrogate models for such systems. We present variants of cross …

Multigrid with rough coefficients and multiresolution operator decomposition from hierarchical information games

H Owhadi - Siam Review, 2017 - SIAM
We introduce a near-linear complexity (geometric and meshless/algebraic) multigrid/
multiresolution method for PDEs with rough (L^∞) coefficients with rigorous a priori …

Lessons on climate sensitivity from past climate changes

AS von der Heydt, HA Dijkstra, RSW van de Wal… - Current Climate Change …, 2016 - Springer
Over the last decade, our understanding of climate sensitivity has improved considerably.
The climate system shows variability on many timescales, is subject to non-stationary forcing …

A survey of online data-driven proactive 5G network optimisation using machine learning

B Ma, W Guo, J Zhang - IEEE access, 2020 - ieeexplore.ieee.org
In the fifth-generation (5G) mobile networks, proactive network optimisation plays an
important role in meeting the exponential traffic growth, more stringent service requirements …

Kernel flows: From learning kernels from data into the abyss

H Owhadi, GR Yoo - Journal of Computational Physics, 2019 - Elsevier
Learning can be seen as approximating an unknown function by interpolating the training
data. Although Kriging offers a solution to this problem, it requires the prior specification of a …

More data can expand the generalization gap between adversarially robust and standard models

L Chen, Y Min, M Zhang… - … Conference on Machine …, 2020 - proceedings.mlr.press
Despite remarkable success in practice, modern machine learning models have been found
to be susceptible to adversarial attacks that make human-imperceptible perturbations to the …